A History of Mathematics, Third Edition , provides students with a solid background in the history of mathematics and focuses on the most important topics for today’s elementary, high school, and college curricula. Students will gain a deeper understanding of mathematical concepts in their historical context, and future teachers will find this book a valuable resource in developing lesson plans based on the history of each topic. This book is ideal for a junior or senior level course in the history of mathematics for mathematics majors intending to become teachers.
An exhilarating survey of mathematics, from the heyday of Egypt & Babylon up to modern time. Full of cultural curiosities like e.g. how to calculate fractions the Egyptian way? What about Babylonian sexagesimal, and why is it still relevant? (And so on)
There is also little discussion -- quite an aside -- on ethnomathematics, i.e. mathematics outside the Western tradition. Some exploration on math from the Americas and Africa shows that this subject is indeed quite universal.
The book's greatest strength, however, is its thematic organization. It is chronologically divided into (pretty much) self-sufficient chapters. Assuming high school/early college mastery of math, readers can jump to a period of interest and get the gist.
Explanations are generally lucid, even more so when it comes to geometry.
True to its title, this book is "A History of Math: An Introduction". And what good introduction! Again we are reminded that science is truly cumulative process, each new generation building on the previous' legacy.
This was one of the books recommended by my Professor for the History and Philosophy of Mathematics. I managed to borrow a copy from my university library and thoroughly enjoyed reading it. I honestly preferred "Mathematical Thought from Ancient to Modern Times" (1972) by Morris Kline, but this one was newer and as such was able to discuss some of the more recent developments in mathematics, such as the computer-generated proof of the four-color map theorem and the tour de force of Andrew Wiles that was his demonstration of Fermat's Last Theorem. Both books discussed physics, whenever relevant, but Kline dedicated more space to the applications of mathematical methods to physics, which I thought was a clear advantage.